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Finding the Fourth Proportional to 5,139.34, 7,706.08 and 1,630.22

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Solution

The fourth proportional to 5,139.34, 7,706.08 and 1,630.22 is: 2,444.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,139.34 : 7,706.08 = 1,630.22 : x
  2. Step 2: Convert to fraction form
    5,139.34/7,706.08 = 1,630.22/x
  3. Step 3: Cross multiply
    5,139.34x = 7,706.08 × 1,630.22
  4. Step 4: Simplify right side
    5,139.34x = 12,562,605.74
  5. Step 5: Solve for x
    x = 12,562,605.74/5,139.34
  6. Step 6: Final answer
    x = 2,444.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.